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13612016 = 241127989
BaseRepresentation
bin110011111011…
…001111110000
3221121120011202
4303323033300
511441041031
61203430332
7223462115
oct63731760
927546152
1013612016
117757a00
1246853a8
132a87962
141b4490c
1512dd2cb
hexcfb3f0

13612016 has 60 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 6040320.

The previous prime is 13612013. The next prime is 13612031. The reversal of 13612016 is 61021631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13612013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152900 + ... + 152988.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 213612016 is an apocalyptic number.

13612016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13612016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

13612016 is an abundant number, since it is smaller than the sum of its proper divisors (16073584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13612016 is a wasteful number, since it uses less digits than its factorization.

13612016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13612016 is about 3689.4465709643. The cubic root of 13612016 is about 238.7669161922.

Adding to 13612016 its reverse (61021631), we get a palindrome (74633647).

The spelling of 13612016 in words is "thirteen million, six hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 79 88 89 121 158 176 178 242 316 356 484 632 712 869 968 979 1264 1424 1738 1936 1958 3476 3916 6952 7031 7832 9559 10769 13904 14062 15664 19118 21538 28124 38236 43076 56248 76472 77341 86152 112496 152944 154682 172304 309364 618728 850751 1237456 1701502 3403004 6806008 13612016